Early Pleistocene cut marked hominin fossil from Koobi Fora, Kenya

Identification of butchery marks on hominin fossils from the early Pleistocene is rare. Our taphonomic investigation of published hominin fossils from the Turkana region of Kenya revealed likely cut marks on KNM-ER 741, a ~ 1.45 Ma proximal hominin left tibia shaft found in the Okote Member of the Koobi Fora Formation. An impression of the marks was created with dental molding material and scanned with a Nanovea white-light confocal profilometer, and the resulting 3-D models were measured and compared with an actualistic database of 898 individual tooth, butchery, and trample marks created through controlled experiments. This comparison confirms the presence of multiple ancient cut marks that are consistent with those produced experimentally. These are to our knowledge the first (and to date only) cut marks identified on an early Pleistocene postcranial hominin fossil.


Identification of butchery marks on hominin fossils from the early Pleistocene is rare. Our taphonomic investigation of published hominin fossils from the Turkana region of Kenya revealed likely cut marks on KNM-ER 741, a ~ 1.45 Ma proximal hominin left tibia shaft found in the Okote Member of the Koobi Fora
Formation. An impression of the marks was created with dental molding material and scanned with a Nanovea white-light confocal profilometer, and the resulting 3-D models were measured and compared with an actualistic database of 898 individual tooth, butchery, and trample marks created through controlled experiments. This comparison confirms the presence of multiple ancient cut marks that are consistent with those produced experimentally. These are to our knowledge the first (and to date only) cut marks identified on an early Pleistocene postcranial hominin fossil.
While it is assumed that Pliocene and early Pleistocene hominins were sometimes the victims of predation by the many taxa of larger carnivores with which they coexisted, taphonomic evidence for such interactions in the form of carnivore chewing damage or tooth marks on hominin fossils is relatively uncommon. In 2011, Hart and Sussman 1 listed 10 hominins dated to between 6 million years ago and 50,000 years ago with evidence of terrestrial carnivore or raptor predation; this list does not include carnivore damage on Australopithecus anamensis fossils from Kanapoi and Allia Bay, Kenya 2,3 and Australopithecus africanus fossils from Member 4 of Sterktfontein, South Africa 4 ; a tooth mark on the pelvis of the AL 288-1 ("Lucy") Australopithecus afarensis partial skeleton from Hadar, Ethiopia ( 5 , though see 6 for an alternate interpretation of this mark); tooth marks on the Paranthropus robustus SK 54 cranium from Swartkrans, South Africa 7 ; and at least two Homo habilis specimens from Olduvai Gorge, Tanzania with evidence of crocodile predation 8 .
In July 2017, one of us (Pobiner) undertook a pilot study of the taphonomy of published hominin postcranial fossils from the Turkana region of Kenya dated to ~ 1.8 to 1.5 Ma, with an expectation of potentially finding some carnivore damage on these fossils. However, she unexpectedly observed potential butchery marks on a single fossil: KNM-ER 741 (Fig. 1). This observation was unexpected because while butchery marks left by hominins on animal fossils beginning by at least the early Pleistocene point to increased meat and marrow acquisition during the evolution of the genus Homo 9-12 and hundreds of cut marked fossils of other animals have been identified from the Okote Member of the Koobi Fora Formation [13][14][15] , no cut marks on hominin fossils from this temporal and geographic area have been reported.
In 1970, Mary Leakey found the proximal half of a left tibia, KNM-ER 741 16,17 . A surface discovery, Leakey retrieved the fossil from exposures of the Okote Member, Koobi Fora Formation in Area 1 of the Ileret region. While 15 additional hominin specimens were found during the same research expedition in 1970, no additional information is available regarding the discovery of this fossil and the information about it in the Koobi Fora monograph does not specify whether other hominin fossils were found nearby. Its stratigraphic position is noted as "Ileret member, c. 2-4 m above the top of the Lower/Middle Tuff (collection unit 5)" with a depositional environment of "Fluvial, probably the edge of a channel" and additional notes that "The sand matrix on KNM-ER 741, a surface find, indicates association with the channel lens rather than more proximal fine-grained sediments" ( 16,17 : 110). Anna K. Behrensmeyer's unpublished field notes from her 1973 documentation of the context of the site indicate that some faunal specimens were found in the general vicinity of the KNM-ER 741 discovery; a few may have been collected. Her field notes include a description of the surfaces of the tibia as relatively fresh with slight weathering of the bone grain, fine longitudinal cracking which could be pre-depositional weathering, and no major cracks. She observed some dissolution and whitening of the surface, some sand was in the trabeculae www.nature.com/scientificreports/ exposed along the edge of the proximal articulation, the marrow cavity was hollow without matrix, and the distal break (on the midshaft) had both fresh and ancient fractures (A.K. Behrensmeyer, pers. comm.). KNM-ER 741 was originally attributed to Australopithecus boisei when it was first published by Richard Leakey 16,17 and then described by Leakey and colleagues 18 . Two decades later, Alan Walker revised the taxonomic attribution of this specimen to Homo erectus based on comparison with KNM-WT 15000, the "Turkana Boy" or Nariokotome partial juvenile skeleton 19 . The entry about KNM-ER 741 in the Wiley-Blackwell Encyclopedia of Human Evolution says "current conventional taxonomic allocation is H. erectus or Hominin gen et sp. indet. " and "because so little is known about the tibial morphology of early hominins other than Australopithecus afarensis it may be premature to rule out the possibility that it belongs to Homo habilis or Paranthropus boisei" 20 . Due to the taxonomic uncertainty of this fossil, we simply refer to it in this study as a hominin (hominin gen. et sp. indet). The age of the fossil is estimated to be about 1.45 Ma 20 .
While examining KNM-ER 741 at the National Museums of Kenya Nairobi Museum, Pobiner identified a series of bone surface modifications on the medial side of the proximal shaft which appeared consistent with stone tool cut marks (Fig. 1). Pobiner created an impression of 11 of these marks with dental molding material. After she returned to the US, Pobiner sent the molds to Pante and Keevil for analysis and comparison to marks on modern bones made by known processes without any contextual or other information about the bone the marks were on, although Pante knew that she had been doing research at the National Museums of Kenya. This fossil specimen is a nearly complete proximal tibia with the proximal end, proximal shaft, and midshaft present. The specimen has a transverse and longitudinal (not spiral) ancient and modern fracture on the distal shaft. Most of the surface of this fossil specimen is darkly colored (likely manganese stained) with a poorly preserved, rough appearing cortical surface due to weathering, abrasion, and/or some other physical or chemical process. In the original description of the fossil, it is noted that "the margins of the articular surfaces have been abraded" ( 16,17 :110). However, the relatively small area where these marks occur is yellow-whitish colored with very good cortical bone surface preservation. No other bone surface modifications were observed on any other parts of the specimen outside of this area. No information on whether this specimen has undergone any preparation since it was discovered exists, though no preparation or excavation damage was detected. The marks observed and described here are the same color as the rest of the bone surface, so they are unlikely to be modern damage. No cleaning of the marks or any other preparation of this fossil was carried out during this study.

Results
The majority of the bone surface modifications identified and studied here are short, narrow linear marks with a straight trajectory and a closed-V-shaped cross section, oriented in the same direction: transverse and slightly oblique to the long bone axis. The V-shape of these marks and their straight trajectories are strong indicators that they are cut marks 21 . They are not shallow, fine, randomly oriented striae which are randomly distributed on various parts of the fossil; these features are characteristics of sedimentary abrasion 21 . The marks also do not look similar to other non-anthropogenic agents which can inflict linear marks, such as insects, plant roots, or raptor beaks 22 . While internal striations were not observed, this feature can be difficult to observe without higher (at least 40×) magnification. Shoulder effects were observed on some of the marks (Fig. 2). Flaking effects were not observed on these marks. Flaking effects are more likely to occur with retouched versus unretouched flakes 21 , www.nature.com/scientificreports/ and in our experience are less often identified on fossilized bones when compared to modern butchered bones. These marks all occur in the same general area on the shaft of the bone; some are isolated while others occur in groups, adjacent to each other in patches. While it is possible that the marks occurred recently (after the bone was fossilized), we think this is unlikely because the color of the marks is not different from the color of the area of the bone on which they occur, and the marks are neither randomly oriented nor randomly distributed. Of the 11 marks measured, 9 were classified as cut marks and 2 as tooth marks (Table 1, Figs. 3 and 4). Six of the cut marks were classified with posterior probabilities near or above 90% indicating a high level of confidence in the identification (see Fig. 3 for an image that identifies all of the analyzed marks). This accords with the qualitative observations and descriptions of the marks above. The two marks classified as tooth marks were compared with 163 known marks inflicted by bone crunching carnivores (Hyaenidae, Canidae, Crocodylidae), and 58 known marks from flesh specialist carnivores (Felidae). The quadratic model can discriminate between bone crunching carnivores and flesh specialist felids (only represented by African lions) with 77% accuracy. Results show both marks classify with marks made by flesh specialists with posterior probabilities of 100% (see Fig. 5 for a comparison between mark 5 and a modern lion tooth mark).

Discussion
Human anthropophagy: definitions and taphonomic criteria. Anthropophagy is often used synonymously with cannibalism, but the former can be defined as occasional consumption of humans by other humans while the latter usually implies a cultural practice 23 . Cannibalism is defined as the act of consuming tissues of individuals of the same species 24 and occurs in over 1300 species of animals in the wild, including several primates 25 . In the case of this hominin fossil tibia, we do not know the identity of the species of the consumer (the species which inflicted the butchery marks) nor the consumed (the species of the hominin tibia). Because of this lack of information, we cannot make a claim of cannibalism based on the evidence presented here. However, due to the possibility that an individual of the same species of hominin to which the tibia belongs also inflicted the cut marks on the tibia, we include a discussion about hominin anthropophagy, which can include cannibalism.
Previous researchers have defined and described the various motivations or contexts for human cannibalism in different ways, including: survival; gastronomic or dietary; aggressive; psychotic or criminal; warfare; affectionate; funerary, ritual, spiritual, or magical; and medicinal (e.g., 26,27,28,29,30,31 ). These types of cannibalism have also sometimes been subdivided into social divisions that include aggressive (consuming enemies) versus affectionate (consuming friends or relatives), or endocannibalism (consumption of individuals within the group, usually associated with sacred beliefs and spiritual regeneration of the deceased) versus exocannibalism (consumption of outsiders, usually associated with hostility and violence) 26 .
Biological anthropologists and archaeologists have generated taphonomic criteria for different kinds of cannibalism to better understand the intent of anthropogenic modification of hominin skeletal remains. These include abundant anthropogenic modifications on more than 20% of human remains; intensive processing of bodies; greater abundance of cut marks related to defleshing and filleting than dismembering; the presence of human tooth marks or chewing damage; and the similar treatment of human and animal remains 23,[26][27][28][29][30][31] . Differentiating between nutritional and ritual cannibalism is primarily based on a comparison of the taphonomic traces on and post-processing discard patterns of hominin and non-hominin remains 24,25,28,29,32,33 . Evidence for marrow and brain extraction are additional indications of nutritional cannibalism, while ritual cannibalism might be inferred in instances of defleshing without marrow extraction 25 . Saladié et al. 33 recently found that high frequencies of anthropogenic modifications (> 30%) are common after an intensive butchering process intended to prepare a hominin body for consumption in different contexts, contradicting previously held assumptions about cut mark intensity. A full discussion of these past behaviors and the criteria used to identify them are outside the context of this study, though they are briefly summarized here; in order to apply these criteria, richer contextual evidence than what was found with KNM-ER 741 is necessary.
A more recent study by Bello et al. of four archaeological sites (one interpreted as cannibalism and three interpreted as funerary defleshing and disarticulation after a period of decay) determined that a distinction between butchery marks reflecting cannibalism of fresh bodies and secondary burials of bodies at various stages of decomposition can be made based on frequency, distribution, and micromorphometric characteristics of cut marks 34 . This study concluded that cannibalized sites exhibit higher frequencies of cut marks overall, but especially disarticulation cut marks on both persistent and labile joints, while secondary burial sites exhibit low frequencies of cut marks on labile joints because they have been naturally disarticulated over time. Bello et al. found that disarticulation cut marks at the cannibalized site (Gough's Cave, UK) were deeper and wider than filleting marks at all four archaeological sites, but that filleting marks on long bones associated with larger muscles (humerus, femur, and tibia) were wider and deeper than those on other long bones (radius, ulna, and fibula). They also found that cut marks on the bones from the funerary defleshing sites (Lepenski Vir, Padina, and Vlasac, Serbia) were wider and deeper than cut marks found on other butchered animals at the site, implying the use of more strength to deflesh human bodies, possibly due to "the difficulty in removing remnant tissue on partially desiccated remains" ( 34 :739).
Given the lack of evidence in the Early Pleistocene for primary or secondary burial, or other ritual behaviors, we think only one of the three functional types of human cannibalism outlined by Fernández-Jalvo et al. 26 is potentially applicable to this study: nutritional cannibalism. Nutritional cannibalism occurs for the sole purpose of obtaining food and can be divided into two categories: (1) incidental cannibalism, which is focused on survival; this occurs in periods of food scarcity or due to catastrophes, i.e., is starvation-induced; (2) long duration cannibalism, which is also called gastronomic or dietary cannibalism; humans are simply part of the diet of other humans. www.nature.com/scientificreports/ Features of human tooth marks on bones have been identified through experimental studies and applied to some fossil assemblages with other evidence of cannibalism (e.g., 22,35,36 ). Fernández-Jalvo and Andrews 35 identified bent ends/fraying on thin bones such as ribs and vertebrae apophyses; crenulated or chewed edges, often with a double arch puncture; tooth punctures usually left by molars or premolars which are most often triangular, dispersed, small (< 4 mm), and occur infrequently; and shallow linear marks left by incisors which are usually superficial, less deep and distinct than carnivore tooth scores, and not easily distinguishable without magnification. Saladié et al. 36 further identified furrowing and scooping out of long bone epiphyses; crenulated  www.nature.com/scientificreports/ and saw-toothed edges on flat bones, sometimes associated with notches; longitudinal cracks; crushing; peeling and bent ends; and pits, punctures, and scores. In their study, tooth punctures and pits tended to have irregular contours, including crescent shapes; tooth scores were primarily shallow, some with flaking on the shoulder or bottom of the groove, and a few with microstriations on the core walls and bottoms. These experimental studies were conducted on sheep, pig and rabbits, including some juveniles and subadults, and some raw and some cooked samples 35,36 . While there are currently no human tooth marks in our comparative sample, based on the lack of other features of human tooth marks and chewing damage outlined in previous research, and the fact that human tooth marks have most often been identified on modern and fossil bones of smaller sized taxa and skeletal elements than this hominin tibia, we think it is possible but unlikely that the tooth marks on this fossil hominin tibia are hominin tooth marks. The two BSM classified as tooth marks are most similar to those produced by a felid (Fig. 5). In our known sample of tooth marks, felids are only represented by the modern lion. While often considered to be hunters, lions are opportunistic in acquiring carcass foods and scavenge frequently. In wooded habitats lions kill between 78 and 88% of their food, but only kill about 47% of their food in open habitats 37 . This is most likely the result of an www.nature.com/scientificreports/ abundance of hyenas, from which lions frequently scavenge, and the visibility of vultures that can be followed to kills by lions in open habitats 37 . Lions will also scavenge from leopards, cheetahs, wild dogs, jackals, and when available, from animals that died from disease or malnutrition 37 . Given the variability in lion behavior and the presence of both cut marks and tooth marks on the fossil hominin tibia, it is not possible to infer the cause of death of the individual, or even the primary consumer. However, the location of the cut marks on the posterior tibia shaft suggests that flesh was likely on the carcass at the time that the cut marks were inflicted.

Evidence for Pleistocene hominin butchery marks on hominins.
There is uncontested evidence for cannibalism in European Neanderthals from sites in Belgium (Troisième Caverne of Goyet), France (Moula-Guercy and Padrelles), Spain (Cueva del Sidrón and Cueva del Boquete de Zafarraya), and Croatia (Krapina) (see 24,25 and references therein). There is also evidence for both anthropogenic defleshing and cannibalism in Homo sapiens from sites in Ethiopia (Herto), Poland (Maszycka Cave), the UK (Gough's Cave), and possibly Germany (Brillenhöhle) (see 23 and references therein). Yet there are still only a handful of Pleistocene sites with evidence for hominin cannibalism 24,25 , and only four published examples of postmortem defleshing on hominin fossils other than Neanderthals and Homo sapiens. We describe these examples in more detail here, in order from youngest to oldest. Though slightly younger than the Early Pleistocene at ~ 600,000 years old, the first observation of cut marks on an early hominin was made by White 38 on the Bodo cranium from the Middle Awash Valley of Ethiopia. White identified 17 areas with diagnostic cut marks on the Bodo cranium and used scanning electron microscopy to investigate some of the cut marks. He also studied crania of modern apes intentionally defleshed with steel knives during the early 1900s now housed at the Cleveland Museum of Natural History for comparison. He was able to match the placement and orientation of each set of the Bodo cut marks among these apes, despite differences in gross cranial morphology and tool type employed. He interpreted the marks on the Bodo cranium as patterned intentional postmortem defleshing of this specimen by a hominin with a stone tool 38 .
There is some evidence for processing on some of the at least 30 Homo heidelbergensis or Homo erectus individuals from Caune de l ' Argo (also known as Arago Cave) in Tautavel, France, most dated to the ~ 680,000 year old Middle Pleistocene middle G and F levels. While a systematic taphonomic study of this site has not yet been undertaken, de Lumley 39 described the remains, primarily from level G, as showing the presence of abundant cut marks on skulls and limb bones and green breakage of long bones. The difference in skeletal part profiles of hominins and non-hominin animals from Arago Cave led de Lumley to suggest that the hominin bones present at the site-skulls, mandibles, long limb bones, and a pelvic girdle-were anthropogenically selected and possibly related to ritualistic cannibalism. Cole 25 noted that postcranial remains at this site were processed differently than cranial remains, also raising the possibility of ritual cannibalism. However, Saladié and Rodríguez-Hidalgo 24 propose that the near absence of axial bones at Arago Cave could be the result of other processes, such as postdepositional destruction (which is more likely to affect these skeletal elements) or difficulties in taxonomic identification; they suggest that the taphonomic damage on the Arago hominins may not be due to ritual behavior.
Fernández-Jalvo et al. 26,40 first identified butchery marks among the ~ 772,000 to 949,000 year old Homo antecessor remains from Gran Dolina, which is part of the karstic site complex of the Sierra de Atapuerca in northern central Spain. The taphonomic analyses of human fossils from the TD6-Aurora Stratum of Gran Dolina, using a binocular light microscope as well as scanning electron microscopy, included identification not only of cut marks (including slicing marks, chop marks, and scraping marks), but also of percussion pits, peeling, conchoidal fracture, and adhering flakes. They found evidence of hominin-induced breakage, butchery marks, and human tooth marks on 44.5% of Homo antecessor bones, including many different skeletal elements, suggesting scalping, skinning, disarticulation, evisceration, and defleshing aimed at meat, marrow, and brain extraction 26,40 . The patterning of butchery damage on the Homo antecessor remains was generally similar to the patterning of damage on the non-human animal remains and was consistent with those bones that held the most nutritional value, as was the spatial distribution of human and non-human animal remains 26,40 . They found no evidence of ritual treatment and interpreted the butchery mark damage on the assemblage as evidence for nutritional cannibalism, more likely gastronomic cannibalism than survival cannibalism. Carbonell et al. 41 described human meat consumption by Homo antecessor at this site as "frequent and habitual" and concluded that this nutritional cannibalism was accepted and included in their social system. After comparing the age profiles of the butchered Homo antecessor individuals to the age profiles seen in cannibalism associated with intergroup aggression in chimpanzees, Saladié et al. 42 concluded that the Gran Dolina hominins periodically hunted and consumed individuals from another group. With evidence for processing of 11 individuals-2 adults, 3 adolescents, and 6 children 26 -this is arguably the earliest firm evidence of systematic cannibalism in the hominin fossil record, and the only such evidence from the Early Pleistocene.
In 2000, Pickering et al. 43 published what are currently accepted as the oldest cut marks on a hominin fossil: cut marks inflicted by a stone tool on the right maxilla of Stw 53, a partial skull from Sterkfontein Member 5 (or possibly a hanging remnant of Member 4-an area called the STW 53 infill) in South Africa. This skull was first found in 1976 by Alun Hughes and is generally attributed to Homo habilis but is also sometimes argued to represent Australopithecus. Pickering et al. noted that the morphology of the marks, their anatomical placement, and the lack of random striae on the specimen all support an interpretation of this linear damage as cut marks 43 . They state that the location of the marks on the lateral aspect of the zygomatic process of the maxilla is consistent with that expected from slicing through the masseter muscle, presumably to remove the mandible from the cranium, in an act of disarticulation. The age of this fossil is somewhat uncertain; Pickering and Kramers 44 suggest an age between 2.6 and 2.0 Ma, but Wood 20 thinks it is younger, between 2.0 and 1.5 Ma. A more recent reassessment of these marks by Hanon et al. 45 including macro-and microscopic observations concluded that they are not evidence for hominin butchery, but the result of natural processes. They noted that Clarke 46  www.nature.com/scientificreports/ zygomatic bone of Stw53 was discovered with sharp-edged chert blocks lying against it, which could produce linear marks under sedimentary pressure, and assert that the morphology of these marks is more consistent with trampling marks. Because the marks are located on the masseter muscle insertion of the zygomatic maxillary process they also looked for corresponding marks on the masseter muscle insertion area of the temporal bone, which might be expected in the process of disarticulation or defleshing, but did not find any. While this more recent analysis of the purported cut marks on Stw 53 has not been replicated or confirmed, given the uncertain age of Stw 53, KNM-ER 741 is now at least among the oldest hominin fossils with evidence of hominin butchery marks, and currently is the oldest known hominin butchery marked postcranial fossil. Previous research on butchery marked fauna from multiple sites from the Okote Member of Koobi Fora show that at this time (~ 1.5 million years ago), hominins were consistently using stone tools to deflesh, disarticulate, and extract marrow from a variety of species and sizes of animals from different habitat settings [13][14][15] . While the morphology of the butchery marks on the Okote Member sites is variable 47 , some generally resemble the marks on KNM-ER 741 (Fig. 6). Quantitative analyses of the bone surface modifications on the KNM-ER 741 tibia demonstrate a high level of confidence that the majority were produced by hominins. But what was being cut, exactly, on KNM-ER 741-and why? The cut marks are located on the posterio-medial border of the proximal tibia shaft, near the origin of the popliteus muscle, which rotates the knee medially and flexes the knee joint. The popliteus origin is situated beneath the gastrocnemius, which would have had to be removed for access to the cut marked area. We interpret the location of the cut marks to be more likely the result of defleshing than disarticulation. We conclude that if anthropophagy occurred after the defleshing of KNM-ER 741, it was an opportunistic, practical, and functional activity which occurred simply in the context of obtaining food, rather than one imbued with ritual meaning. www.nature.com/scientificreports/

Methods
Pobiner used a 10X hand lens and bright, high-incident light to look for bone surface modifications on hominin postcranial bones at the National Museums of Kenya, including KNM-ER 741, following methods outlined in Blumenschine et al. 48 . She used Coltene President Plus light body dental molding material to create an impression of the marks analyzed in this study. The quantitative analysis of bone surface modifications (BSM) followed the protocol presented in Pante et al. 49 . 3-D models of each of the 11 studied BSM were created from an impression of the surface taken from the area of interest on the tibia using a Nanovea ST400 white-light non-contact confocal profilometer equipped with a 3 mm optical pen (objective) that has a resolution of 40 nm on the z-axis. The resolution on the x-axis was set to 5 um and 10 um on the y-axis. Processing and analysis of the 3D model was carried out using Digital Surf 's Mountains ® following Pante et al. 49 . Processing included removing outliers, filling in missing data points, and removing the underlying form of the bone. Data collected through the analysis from the entire 3-D model of the BSM were volume, surface area, maximum depth, mean depth, maximum length, and maximum width. Additional data were collected from a profile taken from the deepest point of the BSM including area of the hole, depth of the profile, roughness (Ra), opening angle, and radius of the hole.
These data were statistically compared with a sample of 898 BSM of known origin, including: 402 cut marks from a variety of stone tool types and raw materials; 278 tooth marks from crocodiles and five species of mammalian carnivores; 130 trample marks produced by cows on substrates including sand, gravel, and soil; and 88 percussion marks from both anvils and hammerstones (see Supplemental document 1 for details on the model structure, influential variables, canonical data, and box-cox transformation values). Surface area and depth of the profile were excluded from the statistical analyses because they are highly correlated with volume and maximum depth, respectively, which can lead to overfitting of data. All experimental data were transformed using the Box-Cox method to normalize the distributions for each variable and the same transformations were applied to the archaeological data. Comparisons were carried out using the quadratic discriminant function in JMP® statistical software. The accuracy of the quadratic function in correctly classifying the experimental BSM was 84% when using a 25% validation set. Prior probabilities were set equal to the occurrence of each mark type in the dataset to offset the disproportionate representations of each mark type in the experimental sample.